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The Unit Circle and Trig Graphs

by Anonymous

Rotate a point on the unit circle to see where sin and cos come from, then unfold it into a wave and reshape its amplitude and period.

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About this app

The Unit Circle and Trig Graphs is an interactive math learning app for exploring how sin and cos come from a point moving around the unit circle. Follow the point’s horizontal and vertical coordinates, then unfold the circular motion into sine and cosine wave graphs. Adjust the amplitude and speed factor to see how they change a wave’s height and period, with guided missions throughout.

Use cases

  • High school students learning trigonometric functions
  • Teachers demonstrating unit-circle definitions of sine and cosine
  • Learners connecting circular motion with wave graphs
  • Students practicing amplitude and period transformations

Features

  • Interactive unit-circle point with adjustable angle
  • Visual display of horizontal cos and vertical sin components
  • Switchable sin and cos wave graphs
  • Adjustable amplitude A and speed factor b
  • Displays period using 360°÷b
  • Guided missions with reset and next controls